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Finding the Third Proportional to 3,466,532 and 7,729,698

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Solution

The third proportional to 3,466,532 and 7,729,698 is: 17,235,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,532 : 7,729,698 = 7,729,698 : x
  2. Step 2: Convert to fraction form
    3,466,532/7,729,698 = 7,729,698/x
  3. Step 3: Cross multiply
    3,466,532x = 7,729,698 × 7,729,698
  4. Step 4: Simplify right side
    3,466,532x = 59,748,231,171,204
  5. Step 5: Solve for x
    x = 59,748,231,171,204/3,466,532
  6. Step 6: Final answer
    x = 17,235,736.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.